how to texturize correctly an interior using ONLY the reference image with which it has been created
That is not possible.
(in the context of a result of practical accuracy or quality)
The image you have is the result of complex light interactions with various surfaces. One image simply does not contain all the data required to reconstruct the scene at this level. Think of it this way - if you add 15 and 45, you get 60, however if I only tell you the result, there is no way for you to know it was 15 and 45 I added together, it could be 30 and 30 for example or any other numbers that make 60 when you add them together. Your image is exactly the same way only a result. It is possible to interpret the image and then reconstruct the scene using artistic interpretation, however that will require a lot of experience, guesses and additional images for texturing as well. If you have a look at the floor for example, since we are viewing it from an angle we are seeing a lot of specular reflection instead of the diffuse color of the floor - many kinds of dark brown floor could look like that from this angle. It would also be impossible to recreate the painting without even seeing it as well as many other objects.
It seems the path you are trying to take does not lead anywhere. The logical thing to do would be to reevaluate your broader situation, context and goals and see if what you are trying to do might be possible some other way.